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| Section | Objectives |
|---|---|
| Topic 1: Probability Theory | - Fundamental Probability Concepts
|
| Topic 2: Risk Measurement Applications | - Quantitative Risk Analysis
|
| Topic 3: Statistical Analysis | - Descriptive and Inferential Statistics
|
| Topic 4: Calculus | - Differential and Integral Calculus
|
| Topic 5: Regression and Time Series Analysis | - Modeling Techniques
|
| Topic 6: Linear Algebra | - Matrix Methods
|
| Topic 7: Numerical Methods | - Quantitative Techniques
|
1. Variance reduction is:
A) A method for reducing the number of simulations required in a Monte Carlo simulation
B) A technique that is applied in regression models to improve the accuracy of the coefficient estimates
C) A numerical method for finding portfolio weights to minimize the variance of a portfolio that has a given expected return
D) A numerical method for finding the variance of the underlying that is implicit in a market price of an option
2. The fundamental theorem of analysis establishes a relation between
A) The derivative of a function and the derivative of its inverse function
B) The derivative of a function and the slope of its graph
C) Integration and differentiation of functions
D) First and second derivative of a function
3. A simple linear regression is based on 100 data points. The total sum of squares is 1.5 and the correlation between the dependent and explanatory variables is 0.5. What is the explained sum of squares?
A) 0.375
B) 1.125
C) 0.3333
D) 0.75
4. Which of the following is not a sequence?
A) 30
B) , , , , ...
C) , , , , , , ...
D) , , , ... , , ...
5. Simple linear regression involves one dependent variable, one independent variable and one error variable. In contrast, multiple linear regression uses...
A) One dependent variable, many independent variables, one error variable
B) One dependent variable, one independent variable, many error variables
C) Many dependent variables, one independent variable, one error variable
D) Many dependent variables, many independent variables, many error variables
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: C | Question # 3 Answer: A | Question # 4 Answer: A | Question # 5 Answer: A |
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